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Changing the Math

Date Added: August 11, 2009 07:50:19 PM
Author:
Category: Poker: Poker Strategy
Some people "get" what Doyle wrote very easily. For others, the concept comes across as if he’s speaking Martian. They spend all their time focusing on the what, finding the correct play. When they find it, they think they are done. But all they have is the 10% tip of the iceberg.

An easy example: bluffing on the river in a situation where you know your opponent holds very little, but you know your hand is worse. For instance, you are fairly certain your opponent has a busted Ace high flush draw, while you have a busted straight draw. He has Ace high. You have Jack high. There are ten big bets in the pot. By bluffing you will win this pot sometimes -- not always, not never, sometimes. Deciding to bluff is the correct what to do. But don’t stop there, that’s just 10% of winning poker.

 


By far more important than that basic observation that a bluff is called for is the ability to pull the bluff off. I called this "executing" in a previous column. Clearly if when Rhonda bluffs in this situation she wins 75% of the time, that is tremendously better than if when Billy bluffs he wins only 15% of the time. With these different success rates, after 100 similar hands playing $10/20, Rhonda will be ahead $14,500 (75 times she wins $200, 25 times she loses her $20 bet), while Billy will only be ahead $1300 (15 times he wins $200, 85 times he loses his $20). Even though she only wins the bluff five times more often than Billy, Rhonda wins more than eleven times what Billy does!

This is an extreme example, but it’s clear that if Rhonda similarly consistently executes better than Billy, she is going to win far more money than him -- even though they both always choose the same action! The how of poker, the execution, leading to better success rates, this is what winning is all about.

Don’t get me wrong, Billy made the right choice, and could still be a winning player. But his game peaks out at the 10% of what. He’s conquered the relatively simple challenge of figuring out what is the mathematically best choice. What he hasn’t learned to do is manipulate the more important how.

Poker MathIf you are playing for money, every poker action’s results are part of a mathematical equation. The fact most players don’t think about the math doesn’t mean it isn’t there. Rhonda and Billy’s bluffs led to a mathematical result. But if Billy is sitting there proud of himself for finding the $1300 profitable what, he sure is missing the boat. Finding the proper what -- Billy knowing that a bluff is the right move -- is a relatively basic, rudimentary skill. It sure isn’t the end of the road. It’s merely the elementary school part.

Great players routinely change the math of their situations. They execute the how in ways that makes them win bets that other players do not get. And winning limit poker is all about bets -- a bet won here, a bet saved there, a pot stolen here, a successful snapping off of a bluff there.

Suppose after the river card is dealt, you are last to act against three opponents and you hold the nut hand. Obviously you bet. That is a what that isn’t in doubt at all. But your job as a player isn’t over -- the how you make that bet could be the difference between getting one or two or three callers (or getting checkraised!). If how you make that bet can get you one or more extra bets from your opponents, as a player you sure better be trying to find the right how. The mathematically correct move is to bet, but if betting quickly with your left hand instead of slowly with your right wins you an extra bet, you sure should be betting with your left hand, and not merely patting yourself on the back for having the sense to bet the nuts in the first place.

Finding the right action is not nearly as important as making it work. How (and why) you do everything matters a lot more than what you do. Think "how am I going to do this" and not merely "what am I going to do."

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